Finding the Third Proportional to 34,002 and 74,484

Step by Step Solution

1. Step 1: Write the proportion equation
   34,002 : 74,484 = 74,484 : x
2. Step 2: Convert to fraction form
   34,002/74,484 = 74,484/x
3. Step 3: Cross multiply
   34,002x = 74,484 × 74,484
4. Step 4: Simplify right side
   34,002x = 5,547,866,256
5. Step 5: Solve for x
   x = 5,547,866,256/34,002
6. Step 6: Final answer
   x = 163,162.94